It's the weekend so instead of doing homework you want to spend the next 48 hours watching Netflix. You have the list of shows from the table below that you are considering watching. Each show also exhibits some certain characteristics that are additionally included. Show: Episode Length: Genres: Interest Rating: The Office 21 min Comedy 92% Fuller House 30 min Thriller 2% The Haunting of Hill House 28 min Horror 78% Parks and Rec. 22 min Comedy 55% Last Chance U 60 min Documentary Master of None 32 min Romantic Comedy 52% Stranger Things 48 min Sci-Fi 99% Grey's Anatomy 45 min Drama 77% 93% However, you also need to eat and go to the bathroom so you don't die. It is required that you eat at least 4 times within the 48 hour period and for each time you eat you should use the bathroom at least twice. It takes 30 minutes to eat and 5 minutes to use the bathroom. You want to create a show schedule that maximizes your average interest rating for viewed shows over the weekend. However, you also have roommates who have placed a few restrictions on what you can select: For every two episodes from a comedy (not including romantic comedies) that you select to watch you must also watch at least one episode drama or horror For every episode of a Sci-Fi series you watch, you must watch at least one comedy Your roommate Trace requires that you watch at least two episodes of Fuller House over the 48 hours. - You are starting to seriously question your friendship with Trace Formulate a formal optimization statement that captures the necessary information. Be sure to include an objective function and required constraints. You do not need to actually solve the problem, only set up the optimization statement that would enable its solving. It's the weekend so instead of doing homework you want to spend the next 48 hours watching Netflix. You have the list of shows from the table below that you are considering watching. Each show also exhibits some certain characteristics that are additionally included. Show: Episode Length: Genres: Interest Rating: The Office 21 min Comedy 92% Fuller House 30 min Thriller 2% The Haunting of Hill House 28 min Horror 78% Parks and Rec. 22 min Comedy 55% Last Chance U 60 min Documentary Master of None 32 min Romantic Comedy 52% Stranger Things 48 min Sci-Fi 99% Grey's Anatomy 45 min Drama 77% 93% However, you also need to eat and go to the bathroom so you don't die. It is required that you eat at least 4 times within the 48 hour period and for each time you eat you should use the bathroom at least twice. It takes 30 minutes to eat and 5 minutes to use the bathroom. You want to create a show schedule that maximizes your average interest rating for viewed shows over the weekend. However, you also have roommates who have placed a few restrictions on what you can select: For every two episodes from a comedy (not including romantic comedies) that you select to watch you must also watch at least one episode drama or horror For every episode of a Sci-Fi series you watch, you must watch at least one comedy Your roommate Trace requires that you watch at least two episodes of Fuller House over the 48 hours. - You are starting to seriously question your friendship with Trace Formulate a formal optimization statement that captures the necessary information. Be sure to include an objective function and required constraints. You do not need to actually solve the problem, only set up the optimization statement that would enable its solving